Add nodes (3D) placed at a distance H from starting nodes (3D)

Question

Alberto Acri 2023-9-29

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2027244-add-nodes-3d-placed-at-a-distance-h-from-starting-nodes-3d

评论： Walter Roberson 2023-9-30

Hi! Is there any way to generate other red coordinates on the same plane and with a distance H = 0.1 from the black coordinates ?

C_or = importdata("C1_or.mat");
C_new = importdata("C1_new.mat");
P = [25.9349 -15.0445 77.3427];
% C_or = importdata("C3_or.mat");
% C_new = importdata("C3_new.mat");
% P = [28.73645 -15.2786 69.24005];
figure
plot3(P(:,1),P(:,2),P(:,3),'k*','Markersize',20);
hold on
plot3(C_or(:,1),C_or(:,2),C_or(:,3),'k.','Markersize',10);  
plot3(C_new(:,1),C_new(:,2),C_new(:,3),'r.','Markersize',10);  
hold off
axis equal

The second figure is the expected result.

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Answer 1

Walter Roberson 2023-9-29

1
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2027244-add-nodes-3d-placed-at-a-distance-h-from-starting-nodes-3d#answer_1322399

For any particular grouping:

Subtract the mean() of the coordinates in order to shift the coordinates to be relative to the centroid. Then use cart2pol to get angle and distance relative to the centroid. Add the offset to the distance, and then pol2cart . Add back the coordinates of the centroid to get the new coordinates.